On perturbations of M-accretive operators in Banach spaces

DOI10.1090/S0002-9939-96-03140-1zbMath0847.47041OpenAlexW1587934532MaRDI QIDQ4875573

Albert K. Kalinde, Norimichi Hirano

Publication date: 24 April 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03140-1

zbMATH Keywords

condensing mappingcompact resolventm-accretive operatorsolvability of nonlinear equationsperturbations of m-accretive operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Linear operators defined by compactness properties (47B07)

Related Items (9)

Some eigenvalue results for maximal monotone operators ⋮ New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces ⋮ On the perturbation theory of $m$-accretive operators in Banach spaces ⋮ Remarks on perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces ⋮ Compact perturbations of 𝑚-accretive operators in Banach spaces ⋮ On perturbations of accretive mappings ⋮ Some results about perturbed maximal monotone mappings ⋮ On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces ⋮ Ranges of densely defined generalized pseudomonotone perturbations of maximal monotone operators.

Cites Work

• Unnamed Item
• Unnamed Item
• Mapping theorems involving ranges of sums of nonlinear operators
• Some surjectivity theorems for compact perturbations of accretive operators
• Remarks on compact pertubations of m-accretive operators
• On Compact Perturbations and Compact Resolvents of Nonlinear m-Accretive Operators in Banach Spaces
• Ranges of Perturbed Maximal Monotone and m-Accretive Operators in Banach Spaces

This page was built for publication: On perturbations of M-accretive operators in Banach spaces